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The problem in the image asks to solve the inequality \(5x - 3 \leq 2x + 9\) and to write the solution in interval notation.

Let's go ahead and solve it.

### Steps:
1. Start with the inequality: \(5x - 3 \leq 2x + 9\).
2. Subtract \(2x\) from both sides: 
   \[
   5x - 2x - 3 \leq 9 
   \]
   which simplifies to:
   \[
   3x - 3 \leq 9.
   \]
3. Add 3 to both sides:
   \[
   3x \leq 12.
   \]
4. Divide both sides by 3:
   \[
   x \leq 4.
   \]

The solution is \(x \leq 4\).

### Interval Notation:
In interval notation, the solution is written as:
\[
(-\infty, 4].
\]

This represents all values of \(x\) that are less than or equal to 4.

Would you like further details on solving inequalities or have any questions?

Here are 5 related questions:
1. How do you solve inequalities involving absolute values?
2. What is the difference between interval notation and set notation?
3. Can you explain how to solve compound inequalities?
4. What are the rules for solving inequalities when multiplying or dividing by a negative number?
5. How do you graph solutions to inequalities on a number line?

**Tip:** When writing intervals, always use square brackets \([ ]\) to include endpoints, and parentheses \(( )\) to exclude them.

Solve the inequality 5x - 3 ≤ 2x + 9. Write the solution in interval notation.

Learn how to solve the inequality 5x - 3 ≤ 2x + 9 with a step-by-step approach, and write the solution in interval notation. This guide covers key algebraic concepts, including solving linear inequalities and understanding interval notation. Suitable for students in Grades 7-9.

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